{"id":"https://openalex.org/W2735597177","doi":"https://doi.org/10.23919/acc.2017.7963335","title":"Template complex zonotopes for stability and invariant verification","display_name":"Template complex zonotopes for stability and invariant verification","publication_year":2017,"publication_date":"2017-05-01","ids":{"openalex":"https://openalex.org/W2735597177","doi":"https://doi.org/10.23919/acc.2017.7963335","mag":"2735597177"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2017.7963335","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2017.7963335","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090355325","display_name":"Arvind Adimoolam","orcid":"https://orcid.org/0000-0001-5991-2950"},"institutions":[{"id":"https://openalex.org/I4210156361","display_name":"Verimag","ror":"https://ror.org/05afmzm11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210156361","https://openalex.org/I4210159245","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Arvind Adimoolam","raw_affiliation_strings":["VERIMAG/CNRS, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"VERIMAG/CNRS, Grenoble, France","institution_ids":["https://openalex.org/I4210156361","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101717722","display_name":"Thao Dang","orcid":"https://orcid.org/0000-0002-7629-3853"},"institutions":[{"id":"https://openalex.org/I4210156361","display_name":"Verimag","ror":"https://ror.org/05afmzm11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210156361","https://openalex.org/I4210159245","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thao Dang","raw_affiliation_strings":["VERIMAG/CNRS, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"VERIMAG/CNRS, Grenoble, France","institution_ids":["https://openalex.org/I4210156361","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090355325"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210156361"],"apc_list":null,"apc_paid":null,"fwci":0.2271,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54533897,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2544","last_page":"2549"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6120288968086243},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5876427292823792},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5024092197418213},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.4949180483818054},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4792083203792572},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4511623978614807},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.44994983077049255},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4466618299484253},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3637703061103821},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.06739550828933716}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6120288968086243},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5876427292823792},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5024092197418213},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4949180483818054},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4792083203792572},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4511623978614807},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.44994983077049255},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4466618299484253},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3637703061103821},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.06739550828933716},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc.2017.7963335","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2017.7963335","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W60370665","https://openalex.org/W305000632","https://openalex.org/W1499377964","https://openalex.org/W1507199453","https://openalex.org/W1558356971","https://openalex.org/W1569692898","https://openalex.org/W1726255445","https://openalex.org/W1896502719","https://openalex.org/W2015428454","https://openalex.org/W2015863039","https://openalex.org/W2016820962","https://openalex.org/W2031254543","https://openalex.org/W2035160527","https://openalex.org/W2050098163","https://openalex.org/W2056579922","https://openalex.org/W2062251837","https://openalex.org/W2068483374","https://openalex.org/W2099308299","https://openalex.org/W2099629271","https://openalex.org/W2101893420","https://openalex.org/W2107265973","https://openalex.org/W2109625504","https://openalex.org/W2111422217","https://openalex.org/W2115914251","https://openalex.org/W2123465178","https://openalex.org/W2126473439","https://openalex.org/W2129792111","https://openalex.org/W2131072910","https://openalex.org/W2132661148","https://openalex.org/W2138062125","https://openalex.org/W2145731676","https://openalex.org/W2253366092","https://openalex.org/W2346958174","https://openalex.org/W2463880964","https://openalex.org/W2682861647","https://openalex.org/W2962692858","https://openalex.org/W3158747708","https://openalex.org/W4231299209","https://openalex.org/W4285719527","https://openalex.org/W6602437994","https://openalex.org/W6633997905","https://openalex.org/W6637971106","https://openalex.org/W6654352129","https://openalex.org/W6691940437","https://openalex.org/W6705290897"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W4321353415","https://openalex.org/W2745001401","https://openalex.org/W2130974462","https://openalex.org/W2028665553","https://openalex.org/W2086519370","https://openalex.org/W4246352526","https://openalex.org/W2121910908","https://openalex.org/W915438175","https://openalex.org/W4230315250"],"abstract_inverted_index":{"Recently":[0],"complex":[1,13,33,41,63,118,132],"zonotopes":[2,10,34,42,133],"were":[3],"introduced":[4],"as":[5,90],"an":[6,128],"extension":[7],"of":[8,81,116,124,130,136,140,143,157],"real":[9],"to":[11,32,103,134,170],"the":[12,18,66,75,78,121,171],"domain,":[14],"which":[15],"could":[16],"capture":[17],"eigenstructure":[19],"nearly":[20],"periodic":[21],"linear":[22,137,147],"impulsive":[23],"systems":[24,149],"for":[25,176],"stability":[26,111],"verification.":[27],"However,":[28],"adding":[29],"more":[30,57,105,109],"generators":[31,67],"distorts":[35],"positive":[36],"invariance":[37,138],"and":[38,92,107,174],"consequently":[39],"refining":[40],"in":[43,51,99,114],"a":[44,56,72,104,155],"verification":[45,112,135],"procedure":[46],"is":[47,127],"not":[48],"easy.":[49],"Therefore,":[50],"this":[52,125],"paper":[53,126],"we":[54],"introduce":[55],"general":[58],"set":[59],"representation,":[60],"called":[61,85],"template":[62,117,131],"zonotopes,":[64],"where":[65],"are":[68,88],"fixed":[69],"a-priori":[70],"by":[71],"template,":[73],"but":[74],"bounds":[76],"on":[77,154],"absolute":[79],"values":[80],"their":[82],"combining":[83],"coefficients,":[84],"scaling":[86,100],"factors,":[87],"treated":[89],"variables":[91],"can":[93],"be":[94],"algorithmically":[95],"synthesized.":[96],"This":[97],"flexibility":[98],"factors":[101],"leads":[102],"systematic":[106],"significantly":[108],"efficient":[110],"procedures":[113],"case":[115],"zonotope.":[119],"Furthermore,":[120],"second":[122],"contribution":[123],"application":[129],"properties":[139],"another":[141],"class":[142],"hybrid":[144],"systems,":[145],"namely":[146],"switched":[148],"with":[150],"additive":[151],"disturbance.":[152],"Experiments":[153],"number":[156],"benchmark":[158],"examples":[159],"demonstrate":[160],"that":[161],"our":[162],"approach":[163],"gives":[164],"better":[165],"or":[166],"competitive":[167],"results,":[168],"compared":[169],"state-of-the-art":[172],"methods":[173],"tools":[175],"these":[177],"problems.":[178]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}